What is the Greatest Common Factor of 83260 and 83275?

Greatest common factor (GCF) of 83260 and 83275 is 5.

GCF(83260,83275) = 5

We will now calculate the prime factors of 83260 and 83275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83260 and 83275.

How to find the GCF of 83260 and 83275?

We will first find the prime factorization of 83260 and 83275. After we will calculate the factors of 83260 and 83275 and find the biggest common factor number .

Step-1: Prime Factorization of 83260

Prime factors of 83260 are 2, 5, 23, 181. Prime factorization of 83260 in exponential form is:

83260 = 2² × 5¹ × 23¹ × 181¹

Step-2: Prime Factorization of 83275

Prime factors of 83275 are 5, 3331. Prime factorization of 83275 in exponential form is:

83275 = 5² × 3331¹

Step-3: Factors of 83260

List of positive integer factors of 83260 that divides 83260 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 181, 230, 362, 460, 724, 905, 1810, 3620, 4163, 8326, 16652, 20815, 41630

Step-4: Factors of 83275

List of positive integer factors of 83275 that divides 83260 without a remainder.

1, 5, 25, 3331, 16655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83260 and 83275. The biggest common factor number is the GCF number.
So the greatest common factor 83260 and 83275 is 5.

Also check out the Least Common Multiple of 83260 and 83275